Is it plausible that the only way to be at both ends of the Universe at the same time is to have a Mass/Space/energy equivalent of the Universe? In essence is it possible the universe is the only thing that can be at both edges of itself at the same time?
Cosmology currently has a number of competing theories regarding the size and shape of the universe. In no models does the universe have an "edge". In finite models it is described as finite but without boundaries.
What does it mean no have no boundary? It roughly means that no path through space can come to an end due to the curvature and geometry of space. Temporal issues and universal limitations on velocity and energy lead to all sorts of problems with the idea of being in two places at once.
The only thing in our universe having the same mass/space/energy of the universe is the universe itself.